A:AnswerNo it doesn't, Playstation controllers don't have rechargeable battery packs you can switch out. You plug them in to charge them and you can charge them and play at the same time.
A:AnswerYes, usually it works like this: the 1-year manufacturer warranty (Sony) comes first, and after that, the Geek Squad protection plan continues. So in total, it can cover up to around 3 years, depending on the plan details.
A:AnswerYes, it can work with the Nvidia Shield Pro via Bluetooth, but some features like haptic feedback and adaptive triggers may not be fully supported.